Summarize how you checked Newton's 2nd Law in this activity. Has Newton's 2nd Law been validated or not in this activity? Explain/justify your answers; just saying the graphs agree with the theory will not count for credit. You need to discuss what each graph checked about the law, and whether it validated or not. + Speed Setting (s) Period T Force FT (N) | 4.0333 0.04 II 3.0333 0.07 III 2.0333 0.15 IV 1.0333 0.59 V 0.5333 2.4 VI 0.3667 5.5 | V= 2R/T (m/s) V (m/s) 0.467111298 0.218192965 0.621105726 0.385772323 0.926572567 0.858536721 1.823284622 | 3.324366813 3.532720795 12.48011622 5.137714753 26.39611289 VII 0.2833 9.5 6.65019414 44.22508211 R (m) 0.3 0.3 0.3 0.3 0.3 0.3 0.3 1. Plot Fr vs R. Make sure that the radius is on the horizontal axis! Add a power law trendline and show its equation on chart.(5 pts) Insert plot here 0.9 006 o o 0.8 F (N) 0.7 76 0.6 0.5 Force vs Radius 0.4 0.3 0.2 0.1 0 0 0.05 0.1 0.15 y=0.059 02 0.2 0.25 0.3 0.35 0.4 0.45 R (m) a) Based on the overall trend of your graph, discuss how the force changes with radius. Does the force increase or decrease? Is the change linear or non- linear? Does the trend agree with the theoretical expectation? Explain your answer to get any credit. (5 pts) Enter answers here b) Now, a check on your measurements: does the exponent shown in the trendline equation agree to its theoretical expectation? Calculate a percentage difference.(5 pts) Radius Setting R (m) A B R- (m) FT (N) 0.05 20 0.79 0.1 10 05 0.4 C D 0.2 0.3 3.333333333 E 0.4 2.5 0.2 0.13 0.1 2. Plot Fr vs V. Make sure that the speed squared is on the horizontal axis! Add a linear trendline and show its equation on chart.(5 pts) Insert plot here FT (N) FT vs V2 10 8 6 2 0 10 9 20 V2 (m/s) 30 y=0.2145x-0.0859- 8 50 a) Based on the overall trend of your graph, discuss how the force changes with speed squared. Does the force increase or decrease? Is the change linear or non-linear? Does the trend agree with the theoretical expectation? Explain your answer to get any credit. (5 pts) Enter answers here b) This time you will check how close your measurements came to the theory by looking at the experimental slope. Use the slope of the trendline equation to determine the mass of the cylinder (here you need to use the radius measurement D). How far off, percentagewise, is the mass m of the cylinder from its known value of 50 grams? (5 pts) Enter calculations and results here F (N) 0.9 0.8 0.7 0.6 0.5 04 0.3 02 0.1 2. Plot FT vs R. Make sure that the inverse of radius, R, is on the horizontal axisl Add a linear trendline and show its equation on chart.(5 pts) Insert plot here Force vs (Radius)^1 y=0.0395x+0.0013 0 10 15 20 R^-1 (m^-) a) Based on the overall trend of your graph, discuss how the force changes with inverse radius. Does the force increase or decrease? Is the change linear or non-linear? Does the trend agree with the theoretical expectation? Explain your answer to get any credit. (5 pts) Enter answers here b) The second check on your measurements: use the experimental slope to determine the mass of the cylinder (here you need to use the speed of setting II). How far off, percentagewise, is the mass of the cylinder from its known value of 100 grams? (5 pts) Enter calculations and results here 1. Select the mass m to 100 grams, the tangential speed V to setting II, the radius R to setting A, and load the video. Forward the video frame by frame to bring the cylinder in a position that allows an accurate radius measurement, as shown in the screenshot below. Insert plot here FT (N) 10 B 6 4 2 FT vs V y-0.183 3 4 V (m/s) Series1 Power (Series) a) Based on the overall trend of your graph, discuss how the juice changes with speed. Does the force increase or decrease? Is the change linear or non- linear? Does the trend agree with the theoretical expectation? Explain your answer to get any credit.(5pts) Enter answers here b) To see how close your measurements came to the theory, let's compare the exponents. Does the exponent shown in the trendline equation agree with its theoretical expectation? Calculate a percentage difference of the exponent read off the trendline with respect to its theoretical expectation.(5 pts) Enter answer and calculations here